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Finding the Third Proportional to 49,388 and 108,145

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Solution

The third proportional to 49,388 and 108,145 is: 236,805.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,388 : 108,145 = 108,145 : x
  2. Step 2: Convert to fraction form
    49,388/108,145 = 108,145/x
  3. Step 3: Cross multiply
    49,388x = 108,145 × 108,145
  4. Step 4: Simplify right side
    49,388x = 11,695,341,025
  5. Step 5: Solve for x
    x = 11,695,341,025/49,388
  6. Step 6: Final answer
    x = 236,805.32

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.